IDEAS home Printed from https://ideas.repec.org/a/spr/opsear/v60y2023i3d10.1007_s12597-023-00644-1.html
   My bibliography  Save this article

An EPQ model for a single-machine multiproduct imperfect production system using a hybrid logarithmic barrier method

Author

Listed:
  • S. Ganesan

    (Government Polytechnic College)

  • R. Uthayakumar

    (The Gandhigram Rural Institute (Deemed to be University))

Abstract

This paper develops an economic production quantity model for a single-machine multiproduct imperfect production system with a set of alternative assumptions. The system under study can produce different types of products using a single machine. Fresh production and rework of imperfect items are performed on the same production line. The model is developed with different operational possibilities on imperfect items. The model aims to investigate the effects of continuous supply of all products throughout a planning period, unequal production cycles, and removal of idle inventory downtimes. A constrained nonlinear mathematical model is derived for the system. The model is optimized using the logarithmic barrier method that uses Newton’s iterative process to calculate the optimal value in each stage. A numerical example and sensitivity analysis are presented to validate the proposed model and optimization method. Some managerial applications of the model are explained.

Suggested Citation

  • S. Ganesan & R. Uthayakumar, 2023. "An EPQ model for a single-machine multiproduct imperfect production system using a hybrid logarithmic barrier method," OPSEARCH, Springer;Operational Research Society of India, vol. 60(3), pages 1121-1152, September.
    • Handle: RePEc:spr:opsear:v:60:y:2023:i:3:d:10.1007_s12597-023-00644-1
    DOI: 10.1007/s12597-023-00644-1
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s12597-023-00644-1
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s12597-023-00644-1?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Harun Öztürk, 2020. "A deterministic production inventory model with defective items, imperfect rework process and shortages backordered," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 39(2), pages 237-261.
    2. Rossi, Tommaso & Pozzi, Rossella & Testa, Mariapaola, 2017. "EOQ-based inventory management in single-machine multi-item systems," Omega, Elsevier, vol. 71(C), pages 106-113.
    3. Salah E. Elmaghraby, 1978. "The Economic Lot Scheduling Problem (ELSP): Review and Extensions," Management Science, INFORMS, vol. 24(6), pages 587-598, February.
    4. Shima Shafiee-Gol & Mohammad Mahdi Nasiri & Ata Allah Taleizadeh, 2016. "Pricing and production decisions in multi-product single machine manufacturing system with discrete delivery and rework," OPSEARCH, Springer;Operational Research Society of India, vol. 53(4), pages 873-888, December.
    5. Pasandideh, Seyed Hamid Reza & Niaki, Seyed Taghi Akhavan & Nobil, Amir Hossein & Cárdenas-Barrón, Leopoldo Eduardo, 2015. "A multiproduct single machine economic production quantity model for an imperfect production system under warehouse construction cost," International Journal of Production Economics, Elsevier, vol. 169(C), pages 203-214.
    6. Chiu, Yuan-Shyi Peter & Chiu, Victoria & Lin, Hong-Dar & Chang, Huei-Hsin, 2019. "Meeting multiproduct demand with a hybrid inventory replenishment system featuring quality reassurance," Operations Research Perspectives, Elsevier, vol. 6(C).
    7. Taleizadeh, Ata Allah & Cárdenas-Barrón, Leopoldo Eduardo & Mohammadi, Babak, 2014. "A deterministic multi product single machine EPQ model with backordering, scraped products, rework and interruption in manufacturing process," International Journal of Production Economics, Elsevier, vol. 150(C), pages 9-27.
    8. Wen-Lian Hsu, 1983. "On the General Feasibility Test of Scheduling Lot Sizes for Several Products on One Machine," Management Science, INFORMS, vol. 29(1), pages 93-105, January.
    9. Bazan, Ehab & Jaber, Mohamad Y. & Zanoni, Simone & Zavanella, Lucio E., 2014. "Vendor Managed Inventory (VMI) with Consignment Stock (CS) agreement for a two-level supply chain with an imperfect production process with/without restoration interruptions," International Journal of Production Economics, Elsevier, vol. 157(C), pages 289-301.
    10. HSU, Wen-Lian, 1983. "On the general feasibility test of scheduling lot sizes for several products on one machine," LIDAM Reprints CORE 515, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    11. Jack Rogers, 1958. "A Computational Approach to the Economic Lot Scheduling Problem," Management Science, INFORMS, vol. 4(3), pages 264-291, April.
    12. S. Ganesan & R. Uthayakumar, 2021. "EPQ models with bivariate random imperfect proportions and learning-dependent production and demand rates," Journal of Management Analytics, Taylor & Francis Journals, vol. 8(1), pages 134-170, January.
    13. K. M. Kamna & Prerna Gautam & Chandra K. Jaggi, 2021. "Sustainable inventory policy for an imperfect production system with energy usage and volume agility," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 12(1), pages 44-52, February.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Tang, Loon Ching & Lee, Loo Hay, 2005. "A simple recovery strategy for economic lot scheduling problem: A two-product case," International Journal of Production Economics, Elsevier, vol. 98(1), pages 97-107, October.
    2. Daniel Adelman & Christiane Barz, 2014. "A Unifying Approximate Dynamic Programming Model for the Economic Lot Scheduling Problem," Mathematics of Operations Research, INFORMS, vol. 39(2), pages 374-402, May.
    3. Grznar, J. & Riggle, C., 1997. "An optimal algorithm for the basic period approach to the economic lot scheduling problem," Omega, Elsevier, vol. 25(3), pages 355-364, June.
    4. Chang, Ping-Teng & Yao, Ming-Jong & Huang, Shih-Fen & Chen, Chia-Tsung, 2006. "A genetic algorithm for solving a fuzzy economic lot-size scheduling problem," International Journal of Production Economics, Elsevier, vol. 102(2), pages 265-288, August.
    5. Holmbom, Martin & Segerstedt, Anders, 2014. "Economic Order Quantities in production: From Harris to Economic Lot Scheduling Problems," International Journal of Production Economics, Elsevier, vol. 155(C), pages 82-90.
    6. Brahimi, Nadjib & Dauzere-Peres, Stephane & Najid, Najib M. & Nordli, Atle, 2006. "Single item lot sizing problems," European Journal of Operational Research, Elsevier, vol. 168(1), pages 1-16, January.
    7. Amir Hossein Nobil & Amir Hosein Afshar Sedigh & Leopoldo Eduardo Cárdenas-Barrón, 2020. "A multiproduct single machine economic production quantity (EPQ) inventory model with discrete delivery order, joint production policy and budget constraints," Annals of Operations Research, Springer, vol. 286(1), pages 265-301, March.
    8. Ramesh Bollapragada & Uday Rao, 1999. "Single-Stage Resource Allocation and Economic Lot Scheduling on Multiple, Nonidentical Production Lines," Management Science, INFORMS, vol. 45(6), pages 889-904, June.
    9. Robert R. Inman & Philip C. Jones & Guillermo M. Gallego, 1991. "Economic lot scheduling of fully loaded processes with external setups," Naval Research Logistics (NRL), John Wiley & Sons, vol. 38(5), pages 699-713, October.
    10. Guillermo Gallego & Robin Roundy, 1992. "The economic lot scheduling problem with finite backorder costs," Naval Research Logistics (NRL), John Wiley & Sons, vol. 39(5), pages 729-739, August.
    11. Guillermo Gallego & Ilkyeong Moon, 1995. "Strategic investment to reduce setup times in the economic lot scheduling problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 42(5), pages 773-790, August.
    12. Vidal-Carreras, Pilar I. & Garcia-Sabater, Jose P. & Coronado-Hernandez, Jairo R., 2012. "Economic lot scheduling with deliberated and controlled coproduction," European Journal of Operational Research, Elsevier, vol. 219(2), pages 396-404.
    13. Briskorn, Dirk & Zeise, Philipp & Packowski, Josef, 2016. "Quasi-fixed cyclic production schemes for multiple products with stochastic demand," European Journal of Operational Research, Elsevier, vol. 252(1), pages 156-169.
    14. Nazrul Shaikh & Vittal Prabhu & Danilo Abril & David Sánchez & Jorge Arias & Esteban Rodríguez & Germán Riaño, 2011. "Kimberly-Clark Latin America Builds an Optimization-Based System for Machine Scheduling," Interfaces, INFORMS, vol. 41(5), pages 455-465, October.
    15. Drexl, Andreas & Haase, Knut, 1992. "A new type of model for multi-item capacitated dynamic lotsizing and scheduling," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 286, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    16. Weidenhiller, Andreas & Jodlbauer, Herbert, 2009. "Equivalence classes of problem instances for a continuous-time lot sizing and scheduling problem," European Journal of Operational Research, Elsevier, vol. 199(1), pages 139-149, November.
    17. Khoury, B. N. & Abboud, N. E. & Tannous, M. M., 2001. "The common cycle approach to the ELSP problem with insufficient capacity," International Journal of Production Economics, Elsevier, vol. 73(2), pages 189-199, September.
    18. Drexl, A. & Kimms, A., 1997. "Lot sizing and scheduling -- Survey and extensions," European Journal of Operational Research, Elsevier, vol. 99(2), pages 221-235, June.
    19. Pesenti, Raffaele & Ukovich, Walter, 2003. "Economic lot scheduling on multiple production lines with resource constraints," International Journal of Production Economics, Elsevier, vol. 81(1), pages 469-481, January.
    20. Khouja, Moutaz & Michalewicz, Zgibniew & Wilmot, Michael, 1998. "The use of genetic algorithms to solve the economic lot size scheduling problem," European Journal of Operational Research, Elsevier, vol. 110(3), pages 509-524, November.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:opsear:v:60:y:2023:i:3:d:10.1007_s12597-023-00644-1. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.